31.16 is what percent of 98.29 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 98.29 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 98.29, so we can write it down as 100%=98.29.
4. We know, that x% equals 31.16 of the output value, so we can write it down as x%=31.16.
5. Now we have two simple equations:
1) 100%=98.29
2) x%=31.16
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=98.29/31.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.16 is what percent of 98.29

100%/x%=98.29/31.16
(100/x)*x=(98.29/31.16)*x       - we multiply both sides of the equation by x
100=3.1543645699615*x       - we divide both sides of the equation by (3.1543645699615) to get x
100/3.1543645699615=x
31.702106012819=x
x=31.702106012819

now we have:
31.16 is 31.702106012819% of 98.29